论文标题
薄膜中增强的玻色子凝结的分析理论
Analytical theory of enhanced Bose-Einstein condensation in thin films
论文作者
论文摘要
我们提出了在薄膜几何形状中的Bose-Einstein凝结理论的分析理论。在低到中度的限制方向（其中膜厚度$ l $处于微米的顺序上）以及在强限制方案中，在较低的较低限制$ l $中都获得了临界温度的分析闭合形式表达式，其中厚度按少量纳米或较低的速度处于厚度。高温BEC的可能性是在强限制限制中预测的，临界温度的平方根差异$ t_ {c} \ sim l^{ - 1/2} $。对于冷bose气体，这意味着在纳米尺度上的胶片中，最多可以增强两个数量级的数量级。还获得了热容量和冷凝物部分的分析预测。预测纳米级膜的凝结物热容量的新定律，即$ c \ sim t^{2} $，这意味着相对于散装系统，这意味着$λ$点的行为不同，而预计冷凝物分数则遵循$ [1-（t/t_ {c} c}）^{C}）
We present an analytically solvable theory of Bose-Einstein condensation in thin film geometries. Analytical closed-form expressions for the critical temperature are obtained in both the low-to-moderate confinement regime (where the film thickness $L$ is in the order of microns) as well as in the strong confinement regime where the thickness is in the order of few nanometers or lower. The possibility of high-temperature BEC is predicted in the strong confinement limit, with a square-root divergence of the critical temperature $T_{c} \sim L^{-1/2}$. For cold Bose gases, this implies an enhancement up to two orders of magnitude in $T_{c}$ for films on the nanometer scale. Analytical predictions are also obtained for the heat capacity and the condensate fraction. A new law for the heat capacity of the condensate, i.e. $C \sim T^{2}$, is predicted for nano-scale films, which implies a different $λ$ point behaviour with respect to bulk systems, while the condensate fraction is predicted to follow a $[1- (T/T_{c})^{2}]$ law.
